1. NAME THAT PROPERTY! For each of the equations below,
tell which property allows us to make the change shown.

2. NAME THAT PROPERTY! 4(2+x)=8+4x Distributive Property
2y + 3x + 6y = 2y + 6y + 3x
Commutative Prop.

3. NAME THAT PROPERTY! (1)(37) = 37 Multiplicative Identity Property
If r – 3 = 15, then 15 = r - 3
Symmetric Property

4. NAME THAT PROPERTY! ( 8p) z = 8 (pz) Associative Property
9 (8p) z = 9z (8p)
Commutative Prop.

5. NAME THAT PROPERTY! - 7 + 0 = - 7 Additive Identity Property
(0) (5) = 0
Multiplicative Prop. Of Zero

6. NAME THAT PROPERTY! -2d + [4 – (-2)] = -2d + 6 Substitution
2 (6x – 7y) = 12x - 14y
Distributive Property

7. NAME THAT PROPERTY! If a=20+(-3) and 20+(-3)=17, then a=17
Transitive Property
If 5x = 25, then 25 = 5x
Symmetric Prop.

8. NAME THAT PROPERTY! 14c = 14c Reflexive Property 8 + f + 2 = f + 8 + 2
Commutative Prop.

9. NAME THAT PROPERTY! 6 + (13 + 2) = (6 + 13) + 2 Associative Property
m + 0 = m
Additive Identity Prop.

10. NAME THAT PROPERTY! 0 (87 b) = 0 Multiplicative Property of Zero
ab (9) = 9ab
Commutative Prop.

11. NAME THAT PROPERTY! h + 4 = h + 4 Reflexive Property (1/3) (3) = 1
Multiplicative Inverse Property

12. NAME THAT PROPERTY! w = 16 – 5 w = 11 Substitution Property
(5 + 21) + 9 = 5 + (21 + 9)
Associative Prop.